{"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00241898","sets":["1164:2592:11887:11888"]},"path":["11888"],"owner":"44499","recid":"241898","title":["圧縮センシングとRamsey理論の交叉点 –RIP行列とRamseyグラフ–"],"pubdate":{"attribute_name":"公開日","attribute_value":"2025-01-07"},"_buckets":{"deposit":"3d022ef8-bf39-46f6-8db9-474706e65a0f"},"_deposit":{"id":"241898","pid":{"type":"depid","value":"241898","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"圧縮センシングとRamsey理論の交叉点 –RIP行列とRamseyグラフ–","author_link":["666776"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"圧縮センシングとRamsey理論の交叉点 –RIP行列とRamseyグラフ–"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"招待講演 ","subitem_subject_scheme":"Other"}]},"item_type_id":"4","publish_date":"2025-01-07","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"熊本大学"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_publisher":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"情報処理学会","subitem_publisher_language":"ja"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/241898/files/IPSJ-AL25201010.pdf","label":"IPSJ-AL25201010.pdf"},"date":[{"dateType":"Available","dateValue":"2027-01-07"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-AL25201010.pdf","filesize":[{"value":"747.9 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"0","billingrole":"5"},{"tax":["include_tax"],"price":"0","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"9"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"20df3b41-5de0-433a-9b4e-fe1cbdd5d78e","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2025 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"佐竹, 翔平"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN1009593X","subitem_source_identifier_type":"NCID"}]},"item_4_textarea_12":{"attribute_name":"Notice","attribute_value_mlt":[{"subitem_textarea_value":"SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc."}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_18gh","resourcetype":"technical report"}]},"item_4_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2188-8566","subitem_source_identifier_type":"ISSN"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"圧縮センシングの理論は,学習理論,計算機科学などの多岐にわたる分野で重要な役割を果たしている.特に圧縮センシングの設定におけるよい観測行列の 1 つとして RIP 行列が知られており,その構成問題は重要な未解決問題となっている.一方で,Ramsey 理論は数学の様々な領域に現れる重要な理論であり,計算機科学などにも応用があることが知られている.中でも Ramsey 数のよい下界を与える Ramsey グラフの構成問題は長年にわたる数学の未解決問題であり,現在も盛んに研究がなされている.本講演では,圧縮センシングと Ramsey 理論の交叉点にある数理的課題について紹介する.特に,特定の RIP 行列から Ramsey グラフが構成されることを踏まえ,RIP 行列と Ramsey グラフそれぞれの構成問題の困難性の関係を論ずる.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"1","bibliographic_titles":[{"bibliographic_title":"研究報告アルゴリズム(AL)"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2025-01-07","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"10","bibliographicVolumeNumber":"2025-AL-201"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"id":241898,"updated":"2025-01-19T07:30:14.657637+00:00","links":{},"created":"2025-01-19T01:46:46.948771+00:00"}